y^2-2y+1=-64

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Solution for y^2-2y+1=-64 equation:


Simplifying
y2 + -2y + 1 = -64

Reorder the terms:
1 + -2y + y2 = -64

Solving
1 + -2y + y2 = -64

Solving for variable 'y'.

Reorder the terms:
1 + 64 + -2y + y2 = -64 + 64

Combine like terms: 1 + 64 = 65
65 + -2y + y2 = -64 + 64

Combine like terms: -64 + 64 = 0
65 + -2y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + -2y + -65 + y2 = 0 + -65

Reorder the terms:
65 + -65 + -2y + y2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -2y + y2 = 0 + -65
-2y + y2 = 0 + -65

Combine like terms: 0 + -65 = -65
-2y + y2 = -65

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -65 + 1

Reorder the terms:
1 + -2y + y2 = -65 + 1

Combine like terms: -65 + 1 = -64
1 + -2y + y2 = -64

Factor a perfect square on the left side:
(y + -1)(y + -1) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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